Printable worksheet for practicing subtracting fractions, including simplification and mixed number conversion.

Let's solve each subtraction problem step by step. We will:

1. Find a common denominator.
2. Rewrite the fractions with the common denominator.
3. Subtract the numerators.
4. Simplify the result (if needed).
5. Express the answer as both an improper fraction and a mixed number if appropriate.

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1) $\frac{7}{4} - \frac{1}{3}$

- LCM of 4 and 3 is 12.
- $\frac{7}{4} = \frac{21}{12},\quad \frac{1}{3} = \frac{4}{12}$
- $\frac{21}{12} - \frac{4}{12} = \frac{17}{12}$
- Simplify: Already in simplest form.
- Improper: $\frac{17}{12}$
- Mixed: $1\frac{5}{12}$

✔ Answer: $\boxed{\frac{17}{12}}$ or $\boxed{1\frac{5}{12}}$

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2) $\frac{11}{7} - \frac{1}{2}$

- LCM of 7 and 2 is 14.
- $\frac{11}{7} = \frac{22}{14},\quad \frac{1}{2} = \frac{7}{14}$
- $\frac{22}{14} - \frac{7}{14} = \frac{15}{14}$
- Simplify: Already simplified.
- Improper: $\frac{15}{14}$
- Mixed: $1\frac{1}{14}$

✔ Answer: $\boxed{\frac{15}{14}}$ or $\boxed{1\frac{1}{14}}$

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3) $\frac{11}{5} - \frac{2}{3}$

- LCM of 5 and 3 is 15.
- $\frac{11}{5} = \frac{33}{15},\quad \frac{2}{3} = \frac{10}{15}$
- $\frac{33}{15} - \frac{10}{15} = \frac{23}{15}$
- Simplify: Already simplified.
- Improper: $\frac{23}{15}$
- Mixed: $1\frac{8}{15}$

✔ Answer: $\boxed{\frac{23}{15}}$ or $\boxed{1\frac{8}{15}}$

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4) $\frac{7}{2} - \frac{5}{6}$

- LCM of 2 and 6 is 6.
- $\frac{7}{2} = \frac{21}{6},\quad \frac{5}{6} = \frac{5}{6}$
- $\frac{21}{6} - \frac{5}{6} = \frac{16}{6} = \frac{8}{3}$ (simplified)
- Improper: $\frac{8}{3}$
- Mixed: $2\frac{2}{3}$

✔ Answer: $\boxed{\frac{8}{3}}$ or $\boxed{2\frac{2}{3}}$

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5) $\frac{23}{11} - \frac{12}{11}$

- Same denominator.
- $\frac{23 - 12}{11} = \frac{11}{11} = 1$

✔ Answer: $\boxed{1}$ (or $\boxed{\frac{1}{1}}$, but just $1$ is fine)

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6) $\frac{13}{8} - \frac{2}{5}$

- LCM of 8 and 5 is 40.
- $\frac{13}{8} = \frac{65}{40},\quad \frac{2}{5} = \frac{16}{40}$
- $\frac{65}{40} - \frac{16}{40} = \frac{49}{40}$
- Simplified: Yes.
- Improper: $\frac{49}{40}$
- Mixed: $1\frac{9}{40}$

✔ Answer: $\boxed{\frac{49}{40}}$ or $\boxed{1\frac{9}{40}}$

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7) $\frac{12}{7} - \frac{3}{4}$

- LCM of 7 and 4 is 28.
- $\frac{12}{7} = \frac{48}{28},\quad \frac{3}{4} = \frac{21}{28}$
- $\frac{48}{28} - \frac{21}{28} = \frac{27}{28}$
- Simplified: Yes.
- Improper: $\frac{27}{28}$
- Mixed: Not applicable (less than 1)

✔ Answer: $\boxed{\frac{27}{28}}$

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8) $\frac{15}{8} - \frac{1}{2}$

- LCM of 8 and 2 is 8.
- $\frac{15}{8} = \frac{15}{8},\quad \frac{1}{2} = \frac{4}{8}$
- $\frac{15}{8} - \frac{4}{8} = \frac{11}{8}$
- Simplified: Yes.
- Improper: $\frac{11}{8}$
- Mixed: $1\frac{3}{8}$

✔ Answer: $\boxed{\frac{11}{8}}$ or $\boxed{1\frac{3}{8}}$

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9) $\frac{17}{12} - \frac{5}{6}$

- LCM of 12 and 6 is 12.
- $\frac{17}{12} = \frac{17}{12},\quad \frac{5}{6} = \frac{10}{12}$
- $\frac{17}{12} - \frac{10}{12} = \frac{7}{12}$
- Simplified: Yes.

✔ Answer: $\boxed{\frac{7}{12}}$

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10) $\frac{11}{3} - \frac{3}{4}$

- LCM of 3 and 4 is 12.
- $\frac{11}{3} = \frac{44}{12},\quad \frac{3}{4} = \frac{9}{12}$
- $\frac{44}{12} - \frac{9}{12} = \frac{35}{12}$
- Simplified: Yes.
- Improper: $\frac{35}{12}$
- Mixed: $2\frac{11}{12}$

✔ Answer: $\boxed{\frac{35}{12}}$ or $\boxed{2\frac{11}{12}}$

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11) $\frac{20}{7} - \frac{1}{2}$

- LCM of 7 and 2 is 14.
- $\frac{20}{7} = \frac{40}{14},\quad \frac{1}{2} = \frac{7}{14}$
- $\frac{40}{14} - \frac{7}{14} = \frac{33}{14}$
- Simplified: Yes.
- Improper: $\frac{33}{14}$
- Mixed: $2\frac{5}{14}$

✔ Answer: $\boxed{\frac{33}{14}}$ or $\boxed{2\frac{5}{14}}$

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12) $\frac{11}{8} - \frac{2}{3}$

- LCM of 8 and 3 is 24.
- $\frac{11}{8} = \frac{33}{24},\quad \frac{2}{3} = \frac{16}{24}$
- $\frac{33}{24} - \frac{16}{24} = \frac{17}{24}$
- Simplified: Yes.

✔ Answer: $\boxed{\frac{17}{24}}$

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13) $\frac{11}{6} - \frac{3}{4}$

- LCM of 6 and 4 is 12.
- $\frac{11}{6} = \frac{22}{12},\quad \frac{3}{4} = \frac{9}{12}$
- $\frac{22}{12} - \frac{9}{12} = \frac{13}{12}$
- Simplified: Yes.
- Improper: $\frac{13}{12}$
- Mixed: $1\frac{1}{12}$

✔ Answer: $\boxed{\frac{13}{12}}$ or $\boxed{1\frac{1}{12}}$

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14) $\frac{9}{7} - \frac{1}{10}$

- LCM of 7 and 10 is 70.
- $\frac{9}{7} = \frac{90}{70},\quad \frac{1}{10} = \frac{7}{70}$
- $\frac{90}{70} - \frac{7}{70} = \frac{83}{70}$
- Simplified: Yes.
- Improper: $\frac{83}{70}$
- Mixed: $1\frac{13}{70}$

✔ Answer: $\boxed{\frac{83}{70}}$ or $\boxed{1\frac{13}{70}}$

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15) $\frac{13}{9} - \frac{5}{18}$

- LCM of 9 and 18 is 18.
- $\frac{13}{9} = \frac{26}{18},\quad \frac{5}{18} = \frac{5}{18}$
- $\frac{26}{18} - \frac{5}{18} = \frac{21}{18} = \frac{7}{6}$ (simplified)
- Improper: $\frac{7}{6}$
- Mixed: $1\frac{1}{6}$

✔ Answer: $\boxed{\frac{7}{6}}$ or $\boxed{1\frac{1}{6}}$

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16) $\frac{15}{6} - \frac{2}{5}$

- Simplify $\frac{15}{6} = \frac{5}{2}$
- Now: $\frac{5}{2} - \frac{2}{5}$
- LCM of 2 and 5 is 10.
- $\frac{5}{2} = \frac{25}{10},\quad \frac{2}{5} = \frac{4}{10}$
- $\frac{25}{10} - \frac{4}{10} = \frac{21}{10}$
- Simplified: Yes.
- Improper: $\frac{21}{10}$
- Mixed: $2\frac{1}{10}$

✔ Answer: $\boxed{\frac{21}{10}}$ or $\boxed{2\frac{1}{10}}$

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17) $\frac{11}{9} - \frac{1}{4}$

- LCM of 9 and 4 is 36.
- $\frac{11}{9} = \frac{44}{36},\quad \frac{1}{4} = \frac{9}{36}$
- $\frac{44}{36} - \frac{9}{36} = \frac{35}{36}$
- Simplified: Yes.

✔ Answer: $\boxed{\frac{35}{36}}$

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18) $\frac{15}{8} - \frac{9}{16}$

- LCM of 8 and 16 is 16.
- $\frac{15}{8} = \frac{30}{16},\quad \frac{9}{16} = \frac{9}{16}$
- $\frac{30}{16} - \frac{9}{16} = \frac{21}{16}$
- Simplified: Yes.
- Improper: $\frac{21}{16}$
- Mixed: $1\frac{5}{16}$

✔ Answer: $\boxed{\frac{21}{16}}$ or $\boxed{1\frac{5}{16}}$

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19) $\frac{23}{10} - \frac{4}{5}$

- LCM of 10 and 5 is 10.
- $\frac{23}{10} = \frac{23}{10},\quad \frac{4}{5} = \frac{8}{10}$
- $\frac{23}{10} - \frac{8}{10} = \frac{15}{10} = \frac{3}{2}$ (simplified)
- Improper: $\frac{3}{2}$
- Mixed: $1\frac{1}{2}$

✔ Answer: $\boxed{\frac{3}{2}}$ or $\boxed{1\frac{1}{2}}$

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20) $\frac{11}{8} - \frac{3}{7}$

- LCM of 8 and 7 is 56.
- $\frac{11}{8} = \frac{77}{56},\quad \frac{3}{7} = \frac{24}{56}$
- $\frac{77}{56} - \frac{24}{56} = \frac{53}{56}$
- Simplified: Yes.

✔ Answer: $\boxed{\frac{53}{56}}$

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✔ Final Answers Summary:

| Problem | Answer (Improper) | Answer (Mixed) |
|--------|-------------------|----------------|
| 1 | $\frac{17}{12}$ | $1\frac{5}{12}$ |
| 2 | $\frac{15}{14}$ | $1\frac{1}{14}$ |
| 3 | $\frac{23}{15}$ | $1\frac{8}{15}$ |
| 4 | $\frac{8}{3}$ | $2\frac{2}{3}$ |
| 5 | $1$ | $1$ |
| 6 | $\frac{49}{40}$ | $1\frac{9}{40}$ |
| 7 | $\frac{27}{28}$ | — |
| 8 | $\frac{11}{8}$ | $1\frac{3}{8}$ |
| 9 | $\frac{7}{12}$ | — |
|10 | $\frac{35}{12}$ | $2\frac{11}{12}$ |
|11 | $\frac{33}{14}$ | $2\frac{5}{14}$ |
|12 | $\frac{17}{24}$ | — |
|13 | $\frac{13}{12}$ | $1\frac{1}{12}$ |
|14 | $\frac{83}{70}$ | $1\frac{13}{70}$ |
|15 | $\frac{7}{6}$ | $1\frac{1}{6}$ |
|16 | $\frac{21}{10}$ | $2\frac{1}{10}$ |
|17 | $\frac{35}{36}$ | — |
|18 | $\frac{21}{16}$ | $1\frac{5}{16}$ |
|19 | $\frac{3}{2}$ | $1\frac{1}{2}$ |
|20 | $\frac{53}{56}$ | — |

Let me know if you'd like this formatted as a printable sheet!